An office manager forecasts demand for office stationery by exponential smoothing, with alpha $=0\mathrm{.}4.$ Actual demand two weeks ago $($i$.$e$.,$ the week before last$)$ was $12$ boxes, but the forecast for that period was only $10.$ Actual demand last week was seven. What was the forecast for last week?

Multiple Choice

$10\mathrm{.}8$

$11\mathrm{.}0$

$11\mathrm{.}2$

$8\mathrm{.}2$

$8\mathrm{.}8$